963393984 has 168 divisors, whose sum is σ = 3208434528. Its totient is φ = 270673920.

The previous prime is 963393967. The next prime is 963393989. The reversal of 963393984 is 489393369.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 963393984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963393989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243994 + ... + 247910.

Almost surely, 2^963393984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604217264).

963393984 is an abundant number, since it is smaller than the sum of its proper divisors (2245040544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

963393984 is a wasteful number, since it uses less digits than its factorization.

963393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3990 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 963393984 is about 31038.5886277066. The cubic root of 963393984 is about 987.6460018917.

The spelling of 963393984 in words is "nine hundred sixty-three million, three hundred ninety-three thousand, nine hundred eighty-four".